A224017 Number of 7Xn 0..2 arrays with rows nondecreasing and antidiagonals unimodal.

2187, 279936, 4549684, 32148473, 157347899, 630339756, 2200064042, 6905100668, 19884396658, 53273320570, 134149069532, 319991143494, 727540081476, 1584708043525, 3320910477511, 6719637130491, 13169292526095, 25065634112639

Offset: 1

Author

R. H. Hardin Mar 30 2013

Keywords

• nonn

Comments

Row 7 of A224012

Examples

			Some solutions for n=3
..0..0..0....0..0..0....0..0..0....0..0..0....0..0..0....0..0..0....0..0..0
..0..0..1....0..0..0....0..0..0....0..0..1....0..0..0....0..0..1....0..0..1
..1..1..2....0..1..2....0..2..2....1..1..2....0..1..2....0..1..2....0..1..2
..0..1..1....1..1..1....1..1..1....0..0..0....2..2..2....0..1..2....2..2..2
..1..1..1....0..2..2....1..1..2....0..1..2....0..1..1....1..1..1....1..1..2
..1..2..2....0..1..1....1..1..1....1..1..1....0..2..2....0..0..1....0..2..2
..0..0..2....0..2..2....1..1..1....0..2..2....0..0..1....0..0..0....0..2..2
		

Links

• R. H. Hardin, Table of n, a(n) for n = 1..210

Formula

Empirical: a(n) = (118519/21794572800)*n^14 + (93527/444787200)*n^13 + (611041/119750400)*n^12 + (20516659/239500800)*n^11 + (983303/907200)*n^10 + (76863193/7257600)*n^9 + (6226908251/76204800)*n^8 + (10267137467/21772800)*n^7 + (44655148529/21772800)*n^6 + (59149317869/10886400)*n^5 + (6745497467/1108800)*n^4 - (150827667029/9979200)*n^3 - (38880748217/10090080)*n^2 + (55017835997/360360)*n + 124353 for n>5